Phenomenology of Bilinear Broken R-parity

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The straightforward supersymmetrization of the Standard Model (SM) results in a phenomenologically inconsistent theory in which Baryon number ($B$) and Lepton number ($L$) are violated by dimension 4 operators, inducing fast proton decay. Proton stability allows only for separate $L$ or $B$ violation and, if neutrinos are massive Majorana particles, $L$ violating terms must be present. In this thesis I will study a Supersymmetric Standard Model (SSM) realization with $B$ conservation and minimal $L$ violation. In this framework $L$ is mildly violated only by super-renormalizable terms, allowing for small neutrino Majorana masses. This model is more predictive than the Baryon-Parity SSM. The induced dimension 4 $L$ violating couplings are not arbitrary, and automatically satisfy all experimental constraints. After introducing the theoretical framework for supersymmetric models without Lepton number, I will discuss the phenomenology of the (unstable) lightest neutralino and of the lightest stop. I will show that the leptonic decays of the stop can be related to the neutrino parameters, and in particular their measurement can indirectly probe the size of the solar neutrinos mixing angle.
115pp, Ph.D Thesis, Universitat de Valencia

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